Factor by Grouping 9m^3-3m^2p^2-3mp+p^3

$9 m^{3} - 3 m^{2} p^{2} - 3 m p + p^{3}$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(9 m^{3} - 3 m^{2} p^{2}) - 3 m p + p^{3}$

Factor out the greatest common factor (GCF) from each group.

$3 m^{2} (3 m - 1 p^{2}) - p (3 m - p^{2})$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 m - 1 p^{2}$ .

$(3 m - 1 p^{2}) (3 m^{2} - p)$

Step 3

Rewrite $- 1 p^{2}$ as $- p^{2}$ .

$(3 m - p^{2}) (3 m^{2} - p)$